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## Sagot :

**Answer:**

k = 2

**Step-by-step explanation:**

given the equation of a line

2x + 9y + (k - 2) = 0

If the line passes through the origin at (0, 0 )

**substitute** x = 0, y = 0 into the equation and **solve** for k

2(0) + 9(0) + k - 2 = 0

0 + 0 + k - 2 = 0

k - 2 = 0 ( **add** 2 to both sides )

k = 2